As manager of the soccer team, wendy is to hand out cups of water at practice. each cup of water is 4 ounces. she begins practice with a 128-ounce cooler of water. a: write a formula to represent this sequence b: how much water is remaining after she hands out the 14th cup?

A.

B. 72 ounce remaining

Step-by-step explanation:

A.

Start off is with 128 oz and with each cup (n), 4 oz is gone (subtracted). Thus we can write the sequence as:

B.

To find the amount of water remaining, we have to substitute 14 into n of the formula found above. Thus:

Hence, 72 oz is remaining

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0